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What is the equation of the line with slope # m= 7/25 # that passes through # (41/5 23/10) #?

Answer 1

#y=7/25x+1/250#

#"the equation of a line in "color(blue)"point-slope form"# is.

#color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))# where m represents the slope and # (x_1,y_1)" a point on the line"#

#"here " m=7/25" and " (x_1,y_1)=(41/5,23/10)#

#rArry-23/10=7/25(x-41/5)larrcolor(red)" in point-slope form"#

#"distributing and simplifying gives an alternative equation"#

#y-23/10=7/25x-287/125#

#rArry=7/25x-287/125+23/10#

#rArry=7/25x+1/250larrcolor(red)" in slope-intercept form"#

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Answer 2

Eva Adamson

The equation of the line with slope ( m = \frac{7}{25} ) passing through the point ( \left(\frac{41}{5}, \frac{23}{10}\right) ) is:

[ y - y_1 = m(x - x_1) ]

Substituting the given values:

[ y - \frac{23}{10} = \frac{7}{25}\left(x - \frac{41}{5}\right) ]

Simplify:

[ y - \frac{23}{10} = \frac{7}{25}x - \frac{287}{125} ]

[ y = \frac{7}{25}x - \frac{287}{125} + \frac{23}{10} ]

[ y = \frac{7}{25}x - \frac{287}{125} + \frac{575}{125} ]

[ y = \frac{7}{25}x + \frac{288}{125} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.